The radios is half of the area hope it works for you
The probability that the jackpot prize will be won in each of four consecutive draws is (1/60)⁴.
The number of consecutive draws needed will be, n = 233
<h3>What is probability?</h3>
Probability is the likelihood or chance of an event happening or not.
- Probability = number of expected outcomes/number of possible outcomes.
From the given question, the probability of the jackpot being won in any draw is 1/60.
The probability that the jackpot prize will be won in each of four consecutive draws will be:
1/60 * 1/60 * 1/60 * 1/60 = (1/60)⁴
b. The number of consecutive draws that needs to be made for there to be a greater than 98% chance that at least one jackpot prize will have been won is calculated as follows:
There is a 100% - 98% chance that that none has been won = 2% that none has been won.
Also, the probability of the jackpot not being won in a draw is = 1 1/60 = 59/60
The number of consecutive draws needed will be (59/60)ⁿ ≤ 0.02
Solving for n by taking logarithms of both sides:
n = 233
In conclusion, probability measures chances of an event occurring or not.
Learn more about probability at: brainly.com/question/251701
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Answer:
The nth term for the arithmetic sequence is given by:
![a_n = a_1+(n-1)d](https://tex.z-dn.net/?f=a_n%20%3D%20a_1%2B%28n-1%29d)
where,
is the first term
n is the number of terms and
d is the common difference for two consecutive terms.
As per the statement:
A certain arithmetic sequence has the following explicit formula for the nth term:
![a_n = 2+(n-1)(6)](https://tex.z-dn.net/?f=a_n%20%3D%202%2B%28n-1%29%286%29)
⇒
and d = 6
The recursive formula for the arithmetic sequence is given by:
![a_n = a_{n-1}+d](https://tex.z-dn.net/?f=a_n%20%3D%20a_%7Bn-1%7D%2Bd)
Substitute the given values we have;
![a_n = a_{n-1}+6](https://tex.z-dn.net/?f=a_n%20%3D%20a_%7Bn-1%7D%2B6)
⇒the following recursive formula is, ![a_n = a_{n-1}+6](https://tex.z-dn.net/?f=a_n%20%3D%20a_%7Bn-1%7D%2B6)
Therefore, the number belongs in the blank space in the recursive formula is, 6
Answer:
this is a required answer.
This answer is pretty simple.
Since there are 2 yards of ribbon, and you need to make ____ number of pieces with each 9 long
To do this you divide.
2 divided by 9
The answer is 11